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AP EAMCET · Maths · Determinants

 The value of b+caabc+abcca+b is 

  1. A abc
  2. B (a+b)(b+c)(c+a)
  3. C 4abc
  4. D (ab)(bc)(ca)
Verified Solution

Answer & Solution

Correct Answer

(C) 4abc

Step-by-step Solution

Detailed explanation

Let △=b+caabc+abcca+b. Applying R1→R1+R2+R3 △=b+c+b+ca+c+a+ca+b+a+bbc+abcca+b ⇒△=2b+c2a+c2a+bbc+abcca+b ⇒△=2b+ca+ca+bbc+abcca+b Applying R1→R1-R2 ⇒△=2b+c-ba+c-(c+a)a+b-bbc+abcca+b ⇒△=2c0abc+abcca+b Applying…
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